1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melomori [17]
3 years ago
15

A thief steals an ATM card and must randomly guess the correct seven​-digit pin code from a 4​-key keypad. Repetition of digits

is allowed. What is the probability of a correct guess on the first​ try?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

The probability of correct guess on the first​ try is \frac{1}{16384}.

Step-by-step explanation:

Consider the provided information.

The ATM has 4 key pad and required a 7 digit pin, where repetition is allowed.

Thief has 7 slots and 4 choices per slot. Because repetition is allowed.

Thus, the total number of different ways are:

4×4×4×4×4×4×4 = 16384

But only one combination is proper code.

Therefore,

\frac{1}{16384}

Hence, the probability of correct guess on the first​ try is \frac{1}{16384}.

You might be interested in
The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation
MrRa [10]

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

\bar x = \frac{\sum_{i=1}^n X_i}{n}

And the population mean is given by:

\mu= \frac{\sum_{i=1}^n X_i}{N}

The population variance is defined by:

\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}

And the sample variance is defined as:

s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is \sigma=2 then the variance would be \sigma^2 = 4 and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is \sigma=0.1 then the variance would be \sigma^2 = 0.01 and as we can see is lower than the standard deviation

7 0
3 years ago
The health continuum is a representation of where your current health status falls-- somewhere between illness and wellness. Ide
____ [38]
The answer is C. If you have a low energy level you are more likely to get sick
6 0
3 years ago
What is the value of x
irga5000 [103]

Answer:

X=24

Step-by-step explanation:

1. (4x + 11) + (3x + 1) = 180 (Combine like terms)

2. 7x + 12 = 180 (Subtract 12 from both sides)

3. 7x = 168 (Divide both sides by 7)

4. x = 24

3 0
3 years ago
What is the length of RS<br> Answer needed ASAP
podryga [215]

Answer:

For sure 34

Step-by-step explanation:

the red lines are the same length to each letter just add those.

8 0
3 years ago
Find the area of the shapes below. Make sure to label your answers with units.
Anvisha [2.4K]
Triangle: 13.3 km Why: the formula is 1/2 base x height.
Square: 57.4 Why: 7x8.2 which equals 57.4
3 0
1 year ago
Other questions:
  • Tito wrote the following on the board. What is the unknown number?
    6·2 answers
  • What is 9962 divided by 41
    5·1 answer
  • Pleaser answer CORRECTLY , WILL MARK BRAINLIEST !!!!!!!!!
    12·1 answer
  • A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 pe
    10·1 answer
  • Pls Answer this Right and Professionally I’m begging you I will mark a brainless too
    11·2 answers
  • What is the area PLEASE HELP!! :/
    8·1 answer
  • 2) The function f(x) is defined below. The value of f(-3) is:<br> f (x) = 4x + 5
    12·2 answers
  • In order for Figure Y to be similar to Figure X,<br> the scale factor would be?
    10·1 answer
  • Help me to solve this question​
    8·1 answer
  • Two pet stores both sell canaries and parrots. The ratio of canaries to parrots for each store is shown in the double number lin
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!